On the equivalence of synchronization definitions in the Kuramoto flow: A unified approach
T.-Y. Hsiao, Yun-Feng Lo, Chengbin Zhu
submitted• arXiv:2503.19781
Savanna dynamics with grazing, browsing, and migration effects
Chiun-Chuan Chen, T.-Y. Hsiao, Shun-Chieh Wang
to appear in SIAM Journal on Applied Dynamical Systems • arXiv.2501.06549
Unstable Stokes waves in constant vorticity flows
T.-Y. Hsiao, Vera Mikyoung Hur, Zhao Yang
in preparation
Two-layer capillary-gravity solitary waves
Kui-Yo Chen, T.-Y. Hsiao, Daniel Sinambela
in preparation
Complete and partial synchronization of two-group and three-group Kuramoto oscillators
Shih-Hsin Chen, Chun-Hsiung Hsia, T.-Y. Hsiao
SIAM Journal on Applied Dynamical Systems • 2024, 23(3), 1720-1765.
Synchronization in the complexified Kuramoto model
T.-Y. Hsiao, Yun-Feng Lo, Winnie Wang
submitted• arXiv.2502.20614
T.-Y. Hsiao
Journal of Dynamics and Differential Equations • 2022, 34, 1969-1996
Discrete N-barrier maximum principle for lattice systems
Chiun-Chuan Chen, T.-Y. Hsiao, Li-Chang Hung
Discrete and Continuous Dynamical Systems: Series A • 2020, 40(1):153-187